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MR656206 (83h:55009) 55P42
Kuhn, N. J.; Mitchell, S. A.; Priddy, S. B. The Whitehead conjecture and splitting $B({\bf Z}/2)\sp{k}$. Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 1, 255–258.
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